The concept of generalized stresses for computational manufacturing and beyond

Abstract

AbstractComputational manufacturing aims at predicting the physical state of a part, structure or respectively its components resulting from a production process. Applicants of computational manufacturing expect reliable and predictive simulation results for various physical effects. Therefore, extended continuum models become increasingly important in modern field theories of materials. To this end, Gurtin and Forest propose the concept of generalized stresses, which shows a strong link between extended continuum mechanics in macroscopic modelling and phase field models in mesoscopic modelling. In this exposition, the concept of generalized stresses is exploited to three different scenarios of computational manufacturing: 1. Micromorphic elasticity considering rotational as well as deformable microstructural effects motivated for a cold box sand in a casting process. 2. Visco‐plasticity coupled to gradient phase transformation at large strains with applications to a cutting process and a hybrid forming process, each showing phase transformations and TRIP‐effects. 3. Multiphase field modelling coupled to Cahn‐Hilliard diffusion to simulate the complex lower bainite transformation in steel as a mesoscopic application of computational manufacturing. Each prototype model is illustrated by a representative finite‐element simulation. (© 2016 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)